Question

ʃ(1+cos x)/cos x

Answer 1

\[\int \frac{\cos x+1}{\cos x}dx =\int( \frac{1}{\cos x}+1)dx\]
we divide by cos x

Answer 2

and\[ \frac{1}{\cos x}=\sec x\]

Answer 3

so now we have to simple intrgrals
\[\int\limits \sec x dx+\int\limits 1 dx\]

Answer 4

wait do you integrate ∫secxdx

Answer 5

wait *how do you integrate ∫secxdx

Answer 6

yes

Answer 7

\[\int \sec x=\ln(\tan x+\sec x) \]

Answer 8

Thank you. Now I get it

Answer 9

yw